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Question 1194664: Question #1
a) Solution for compound inequality x > 1 and x > 4 is
(b) Solution for compound inequality x > 1 or x > 4 is
Question #2 What can be used to represent the sum of triple a number and its square?
Answer by ikleyn(52896)   (Show Source):
You can put this solution on YOUR website! .
Question #1
a) Solution for compound inequality x > 1 and x > 4 is
(b) Solution for compound inequality x > 1 or x > 4 is
Question #2 What can be used to represent the sum of triple a number and its square?
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a) Solution for compound inequality x > 1 and x > 4 is the INTERSECTION
of partial solution sets {x > 1} and {x > 4}, which (intersection) is the set {x > 4}.
b) Solution for compound inequality x > 1 or x > 4 is the UNION
of partial solution sets {x > 1} and {x > 4}, which (union) is the set {x 1 4}.
The difference between the first system of inequalities and the second system of inequalities is in the used service word.
In the first system, the service word is "and", and it prescribes to use the intersection of partial solutions.
In the second system, the service word is "or", and it prescribes to use the union of partial solutions.
Solved and explained.
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On solving systems of inequalities and compound inequalities, see the lessons
- Solving systems of linear inequalities in one unknown
- Solving compound inequalities
in this site.
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